Transcript Factoring expressions - Ridgefield School District

Factoring
expressions
Section 5.8
Find the GCF of Monomials
A
__________ is a number, a variable, or a
product of a number and one or more
variable.
Monomials
Not Monomials
25, x, 40x
x + 4, 40x + 120
Find the GCF of Monomials
 To
_________ a number means to write it as
a product of its factors.
A
monomial can be factored using the
same method you would use to factor a
number.
 The
_______ of two monomials is the
greatest monomial that is a factor of
both.
Examples
 Find
the GCF of each pair of monomials.
 1.
12, 28c
 2.
25x, 15xy
 3.
42mn, 14mn
Factor Linear Expressions
 You
can use the __________ Property and
the work backward strategy to express a
linear expression as a product of its
factors.
 A linear expression is in ____________ form
when it is expressed as the product of its
factors.
 Example:
8x + 4y
= 4(2x) + 4(y)
The GCF of 8x
and 4y is 4
= 4 (2x + y)
Distributive
Property
Examples
 Factor
each expression. If the expression
cannot be factored, write cannot be
factored.
 4. 4x – 28
 5.
3x + 33y
 6.
4x + 35
You Try
 Find
the GCF of each pair of monomials
 1.
32x, 18
 2.
27s, 54st
 3.
18cd, 30cd
You Try
 Factor
each expression. If the expression
cannot be factored, write cannot be
factored.
 4.
36x + 24
 5.
4x + 9
 6.
14x – 16y
Word Problem
 Mr.
Phen’s monthly income can be
represented by the expression 25x + 120
where x is the number of hours worked.
Factor the expression 25x + 120.
Essential Question
 Explain
how the GCF is used o factor an
expression. Us the term Distributive
Property in your response.
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